Finding the Third Proportional to 147,784 and 234,047

Step by Step Solution

1. Step 1: Write the proportion equation
   147,784 : 234,047 = 234,047 : x
2. Step 2: Convert to fraction form
   147,784/234,047 = 234,047/x
3. Step 3: Cross multiply
   147,784x = 234,047 × 234,047
4. Step 4: Simplify right side
   147,784x = 54,777,998,209
5. Step 5: Solve for x
   x = 54,777,998,209/147,784
6. Step 6: Final answer
   x = 370,662.58